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Finding the Fourth Proportional to 2,393.16, 3,590.16 and 749.64

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Solution

The fourth proportional to 2,393.16, 3,590.16 and 749.64 is: 1,124.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,393.16 : 3,590.16 = 749.64 : x
  2. Step 2: Convert to fraction form
    2,393.16/3,590.16 = 749.64/x
  3. Step 3: Cross multiply
    2,393.16x = 3,590.16 × 749.64
  4. Step 4: Simplify right side
    2,393.16x = 2,691,327.54
  5. Step 5: Solve for x
    x = 2,691,327.54/2,393.16
  6. Step 6: Final answer
    x = 1,124.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.